Dispersion braiding and band knots in plasmonic arrays with broken symmetries

Author:

Yin Shixiong12ORCID,Alù Andrea123ORCID

Affiliation:

1. Department of Electrical Engineering , City College of The City University of New York , New York 10031 , USA

2. Photonics Initiative, Advanced Science Research Center , The City University of New York , New York 10031 , USA

3. Physics Program, Graduate Center , City University of New York , New York 10016 , USA

Abstract

Abstract Periodic arrays can support highly nontrivial modal dispersion, stemming from the interplay between localized resonances of the array elements and distributed resonances supported by the lattice. Recently, intentional defects in the periodicity, i.e., broken in situ symmetries, have been attracting significant attention as a powerful degree of freedom for dispersion control. Here we explore highly nontrivial dispersion features in the resonant response of linear arrays of plasmonic particles, including the emergence of braiding and band knots caused by band folding. We show that these phenomena can be achieved within simple dipolar arrays for which we can derive closed-form expressions for the dispersion relation. These phenomena showcase powerful opportunities stemming from broken symmetries for extreme dispersion engineering, with a wide range of applications, from plasma physics to topological wave phenomena. Our theoretical model can also be generalized to higher dimensions to explore higher-order symmetries, e.g., glide symmetry and quasi-periodicity.

Funder

Simons Foundation

Air Force Office of Scientific Research

Publisher

Walter de Gruyter GmbH

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics,Electronic, Optical and Magnetic Materials,Biotechnology

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